MHT CET 2023 Physics question
From a disc of mass 'M' and radius 'R', a circular hole of diameter 'R' is cut whose rim passes through the center. The moment of inertia of the remaining part of the disc about perpendicular axis passing through the center is
Answer: (A)
Solution
Full disc: . The hole has radius , so its area is one quarter of the disc and its mass is . Its centre is at distance from the centre of the disc (its rim passes through the centre). By the parallel axis theorem,
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